Find the LCD. Build up the fractions to equivalent fractions having the LCD as the denominator and then ORDER the fractions from smallest to largest.3/4, 8/9, 1/36

Answer :

Explanation:

[tex]\begin{gathered} \text{Given:} \\ \frac{3}{4},\text{ }\frac{8}{9},\text{ }\frac{1}{36} \end{gathered}[/tex]

The least common denminator = 36

We will build each fraction with the least common denominator:

[tex]\begin{gathered} 36\text{ = 4 }\times9 \\ \frac{3}{4}\text{ = }\frac{3}{4}\times\frac{9}{9} \\ =\text{ }\frac{27}{36} \end{gathered}[/tex][tex]\begin{gathered} 36\text{ = 4}\times9 \\ \frac{8}{9}\times\frac{4}{4}=\text{ }\frac{32}{36} \end{gathered}[/tex][tex]\begin{gathered} 36\text{ = 1}\times\text{ 36} \\ \frac{1}{36}\times\frac{1}{1}\text{ = }\frac{1}{36} \end{gathered}[/tex][tex]undefined[/tex]

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